Search a number
-
+
272376 = 23331397
BaseRepresentation
bin1000010011111111000
3111211122000
41002133320
532204001
65501000
72213046
oct1023770
9454560
10272376
11176705
12111760
1396c90
1471396
1555a86
hex427f8

272376 has 64 divisors (see below), whose sum is σ = 823200. Its totient is φ = 82944.

The previous prime is 272369. The next prime is 272381. The reversal of 272376 is 673272.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

272376 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2760 + ... + 2856.

2272376 is an apocalyptic number.

272376 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411600).

272376 is an abundant number, since it is smaller than the sum of its proper divisors (550824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

272376 is a wasteful number, since it uses less digits than its factorization.

272376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 115 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 272376 is about 521.8965414716. The cubic root of 272376 is about 64.8220775253.

The spelling of 272376 in words is "two hundred seventy-two thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 97 104 108 117 156 194 216 234 291 312 351 388 468 582 702 776 873 936 1164 1261 1404 1746 2328 2522 2619 2808 3492 3783 5044 5238 6984 7566 10088 10476 11349 15132 20952 22698 30264 34047 45396 68094 90792 136188 272376